It would help to know either where you're from or a description of the temperatures you ride at. Today, it was -26C/-15F with the windchill, only thick mitts work for me at these temperatures (last year, I rode in when windchill was -39C/-38F). However, if your "cold weather" is -1C/30F, that's a whole other ball game (ball hockey, if the ice has frozen).
As you can probably guess, cycling-specific winter gloves would be too light for me, cycling-winter seems to be around freezing temperatures according to what appears in the ads and photos of winter cycling gear in use.